Pith Number

pith:M47EJ6QD

pith:2019:M47EJ6QDBYHD46ULSXGXFYD3AG

not attested not anchored not stored refs pending

Nonlinear Pseudo-Differential Equations for Radial Real Functions on a Non-Archimedean Field

Anatoly N. Kochubei

arxiv:1907.11545 v1 · 2019-07-25 · math.CA · math-ph · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M47EJ6QDBYHD46ULSXGXFYD3AG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:39:28.740258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673e44fa030e0e3e7a8b95cd72e07b018df0db08d06892e86780846c5814f316

Aliases

arxiv: 1907.11545 · arxiv_version: 1907.11545v1 · doi: 10.48550/arxiv.1907.11545 · pith_short_12: M47EJ6QDBYHD · pith_short_16: M47EJ6QDBYHD46UL · pith_short_8: M47EJ6QD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M47EJ6QDBYHD46ULSXGXFYD3AG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 673e44fa030e0e3e7a8b95cd72e07b018df0db08d06892e86780846c5814f316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af770fe283c4128bf43328214f04084ab4ec378ad3b86615b134f413efcc6a3f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-25T09:27:24Z",
    "title_canon_sha256": "b7ef99fa33711900034e017bfa27212593bbe805a43ed12aeffb10a086eb2f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11545",
    "kind": "arxiv",
    "version": 1
  }
}